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The specific connectivity number of random networks

  • Joseph Mecke (a1) and Dietrich Stoyan (a2)

Abstract

A network is a system of segments or edges in ℝ d which intersect only in the segment endpoints, which are called vertices. An example is the system of edges of a tessellation. It is possible to give formulas for the specific connectivity number of a random network; in the stationary case, the intensity of the 0-curvature measure is equal to the difference of the intensities of the point processes of vertices and edge centres.

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Corresponding author

Postal address: Faculty of Mathematics and Informatics, University of Jena, 07740 Jena, Germany.
∗∗ Postal address: Institute of Stochastics, Freiberg University of Mining and Technology, 09596 Freiberg, Germany. Email address: stoyan@orion.hrz.tu-freiberg.de

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The specific connectivity number of random networks

  • Joseph Mecke (a1) and Dietrich Stoyan (a2)

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